Two teams (call them X and Y ) play against each other in the World Series. (The World Series is a best-of-seven series: The first team to win four games wins the series, and games cannot end in a tie.) We can describe an outcome for the World Series by writing a string of letters that indicate (in order) the winner of each game. For example, the string X Y X X Y X represents the outcome: X wins game 1, Y wins game 2, X wins game 3, and so on. a. Describe the event “ X wins in five games.” b. Describe the event “the series is over in game 5.” c. Describe the event “the series is over in game 6.” d. Find the size of the sample space .
Two teams (call them X and Y ) play against each other in the World Series. (The World Series is a best-of-seven series: The first team to win four games wins the series, and games cannot end in a tie.) We can describe an outcome for the World Series by writing a string of letters that indicate (in order) the winner of each game. For example, the string X Y X X Y X represents the outcome: X wins game 1, Y wins game 2, X wins game 3, and so on. a. Describe the event “ X wins in five games.” b. Describe the event “the series is over in game 5.” c. Describe the event “the series is over in game 6.” d. Find the size of the sample space .
Solution Summary: The author describes an outcome for the World Series by writing a string of letters that indicate (in order) the winner of each game.
Two teams (call them
X
and
Y
) play against each other in the World Series. (The World Series is a best-of-seven series: The first team to win four games wins the series, and games cannot end in a tie.) We can describe an outcome for the World Series by writing a string of letters that indicate (in order) the winner of each game. For example, the string
X
Y
X
X
Y
X
represents the outcome:
X
wins game 1,
Y
wins game 2,
X
wins game 3, and so on.
a. Describe the event “
X
wins in five games.”
b. Describe the event “the series is over in game 5.”
c. Describe the event “the series is over in game 6.”
d. Find the size of the sample space.
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
1. Show that the vector field
F(x, y, z)
=
(2x sin ye³)ix² cos yj + (3xe³ +5)k
satisfies the necessary conditions for a conservative vector field, and find a potential function for
F.
Use the quadratic formula to find the zeros of the quadratic equation.
Y=3x^2+48x+180
M = log
The formula
determines the magnitude of an earthquake,
where / is the intensity of the earthquake and S is the intensity of
a "standard earthquake." How many times stronger is an
earthquake with a magnitude of 8 than an earthquake with a
magnitude of 6? Show your work.
Chapter 16 Solutions
Excursions in Mathematics, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.